# RS Aggarwal Class-8 Perimeter & Area of Plane Figure ICSE Maths Goyal Brothers

**RS Aggarwal Class-8 Perimeter & Area** of Plane Figure ICSE Maths Goyal Brothers Prakashan Solutions Chapter-23. We provide step by step Solutions of Exercise / lesson-23 **Perimeter & Area** of Plane Figure** **for ICSE **Class-8 RS** Aggarwal Mathematics.

Our Solutions contain all type Questions of Exe-23 (A), Exe-23 (B), Exe-23 (C), Exe-23 (D), Exe-23 (E), Mental Maths with Notes to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-8 Mathematics

**RS Aggarwal Class-8 Perimeter & Area** of Plane Figure ICSE Maths Goyal Brothers Prakashan Solutions Chapter-23

–: Select Topics :–

Notes on **Perimeter & Area** of Plane Figure

### Notes on **Perimeter & Area** of Plane Figure

**Area**

The surface covered by the border line of the figure is the area of the plain shape.Area is the region bounded by the shape of an object. The space covered by the figure or any geometric shapes is the area of the shape. The area of all the shapes depends upon its dimensions and properties. Different shapes have different areas. The area of the square is different from the area of kite.

**Perimeter**

The perimeter is the length of the boundary of the plane shape.Perimeter of a shape is defined as the total distance around the shape. Basically, its the length of any shape if it is expanded in a linear form. The perimeter of different shapes can match in length with each other depending upon their dimensions

The unit of the perimeter is same as the length unit.

**Area of Trapezium**

A trapezium is a quadrilateral whose two sides are parallel. And if its non-parallel sides are equal then it is said to be an isosceles trapezium

**. By Splitting the figure**

One way to find the Area of trapezium is to divide it into two or three plane figures and then find the area.

**2. By using formula**

Another way is to calculate the area by using formula.

Area of trapezium = 1/2 (sum of parallel side) x height

In this also we can split the rhombus into two triangles and can find the area of rhombus easily.

**Formula of Area of Rhombus**

Area of Rhombus = 1/2 (d1 x d2 )

**Area of Special Quadrilaterals (Rhombus)**

A rhombus is a quadrilateral with all the sides are equal and parallel but not the right angle. Its two diagonals are the perpendicular bisector to each other

#### Perimeter and Area of Triangle

The triangle has three sides. Therefore, the perimeter of any given triangle, whether it is scalene, isosceles or equilateral, will be equal to the sum of the length of all three sides. And the area of any triangle is the space occupied by it in a plane

#### Formula’s on Perimeter and Area

Shape |
Area |
Perimeter |
Terms |

Circle | A = π × r^{2} |
Circumference = 2πr | r = radius of the circle |

Triangle | A = ½ × b × h | S = a+b+c | b = base, h = height
a,b and c are the sides of the triangle |

Square | A = a^{2} |
P = 4a | a = length of side |

Rectangle | A = l × w | P = 2(l + w) | l = length ,w = width |

Parallelogram | A = b × h | P = 2(b + h) | b=base, h=vertical height |

**Exe-23 (A),** **RS Aggarwal Class-8 Perimeter & Area** of Plane Figure ICSE Maths Goyal Brothers Prakashan Solutions

Question 1:

Find the perimeter, area and length of diagonal of a rectangle, having :

(i)……

(ii)……

(iii)……

Question 2:

The perimeter of a rectangle ……………………… of the rectangle.

Question 3:

……………………

…………………..

……………………

Question 15:

A rectangular hall is 22m ………………………… 124 per meter.

Question 16:

…………………

………………….

………………..

Question 24:

A square field …………………………… per meter.

Question 25:

The cost ……………… per meter.

** Perimeter & Area** of Plane Figure ICSE Maths Goyal Brothers Prakashan Solutions **Exe-23 (B)**, **RS Aggarwal Class-8**

**Question 1:**

**Find the area of parallelogram whose**

**(i)……..**

**(ii)………………**

**Question 2:**

**The height …………………. and the base.**

**Question 3:**

**……………………**

**…………………….**

**…………………..**

**Question 21:**

**Find the area of ………………. figure given below**

**see figure in your text book**

**Question 22:**

**Find the area of the ……. given below**

**see figure in your text book**

** **

### Goyal Brothers Prakashan Solutions **Exe-23 (C), RS Aggarwal Class-8 Perimeter & Area** of Plane Figure ICSE Maths

**See figure in your text book :**

**Question 1:**

**In the given ……………… Quad. ABCD.**

**Question 2:**

**Find the area of the …………………….. = 9 cm**

**Question 3:**

**Find the area ………………**

**= 5 cm**

**Question 4:**

**………………..**

**………………..**

**……………….**

**Question 8:**

**Find the area …………………. = 10 m**

**RS Aggarwal Class-8 Perimeter & Area** of Plane Figure ICSE Maths Goyal Brothers Prakashan Solutions **Exe-23 (D),**

**Question 1:**

**Find the perimeter and area of a semi circle whose radius is :**

**(a)…….**

**(b)………**

**(c)………..**

**Question 2:**

**Find the ………………………. diameter .**

**(a)…….**

**(b)………**

**Question 3:**

**…………..**

**……………..**

**………………**

**Question 14:**

**Find the area of the shaded region in each of the following figures:**

** **

** Exe-23 (E),** MCQs **RS Aggarwal Class-8 Perimeter & Area** of Plane Figure ICSE Maths Goyal Brothers Prakashan Solutions

**Question 1:**

**The length of a rectangle is 2 cm ……………….. its area is**

**Question 2:**

**The length ………….. breadth is **

**Question 3:**

**…………………..**

**……………………**

**…………………….**

**Question 32****:**

**Four horses are …………….. left unglazed is **

** **

**Mental Maths**

–: End of **RS Aggarwal Class-8 Perimeter & Area** of Plane Figure Solutions :–

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